Book Review
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MathSciNet review:
1568186
Full text of review:
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Book Information:
Author:
Ethan Akin
Title:
The general topology of dynamical systems
Additional book information:
Graduate Studies in Mathematics, vol. 1, American Mathematical Society, Providence, RI, 1993, x + 261 pp., US$50.00. ISBN 0-8218-3800-8.
Joseph Auslander, Minimal flows and their extensions, North-Holland Mathematics Studies, vol. 153, North-Holland Publishing Co., Amsterdam, 1988. Notas de Matemática [Mathematical Notes], 122. MR 956049
Robert Ellis, Lectures on topological dynamics, W. A. Benjamin, Inc., New York, 1969. MR 0267561
H. Furstenberg, Recurrence in ergodic theory and combinatorial number theory, Princeton University Press, Princeton, N.J., 1981. M. B. Porter Lectures. MR 603625
Shmuel Glasner, Proximal flows, Lecture Notes in Mathematics, Vol. 517, Springer-Verlag, Berlin-New York, 1976. MR 0474243
Walter Helbig Gottschalk and Gustav Arnold Hedlund, Topological dynamics, American Mathematical Society Colloquium Publications, Vol. 36, American Mathematical Society, Providence, R.I., 1955. MR 0074810
Anatole Katok and Boris Hasselblatt, Introduction to the modern theory of dynamical systems, Encyclopedia of Mathematics and its Applications, vol. 54, Cambridge University Press, Cambridge, 1995. With a supplementary chapter by Katok and Leonardo Mendoza. MR 1326374, DOI 10.1017/CBO9780511809187
Ricardo Mañé, Ergodic theory and differentiable dynamics, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 8, Springer-Verlag, Berlin, 1987. Translated from the Portuguese by Silvio Levy. MR 889254, DOI 10.1007/978-3-642-70335-5
V. V. Nemytskii and V. V. Stepanov, Qualitative theory of differential equations, Princeton Mathematical Series, No. 22, Princeton University Press, Princeton, N.J., 1960. MR 0121520
Clark Robinson, Dynamical systems, 2nd ed., Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1999. Stability, symbolic dynamics, and chaos. MR 1792240
Michael Shub, Global stability of dynamical systems, Springer-Verlag, New York, 1987. With the collaboration of Albert Fathi and Rémi Langevin; Translated from the French by Joseph Christy. MR 869255, DOI 10.1007/978-1-4757-1947-5
- [A]
- J. Auslander, Minimal flows and their extensions, North-Holland, Amsterdam, 1988. MR 956049 (89m:54050)
- [E]
- R. Ellis, Lectures in topological dynamics, Benjamin, New York, 1969. MR 0267561 (42:2463)
- [F]
- H. Furstenberg, Recurrence in ergodic theory and combinatorial number theory, Princeton Univ. Press, Princeton, NJ, 1981. MR 603625 (82j:28010)
- [G]
- S. Glasner, Proximal flows, Lecture Notes in Mathematics, vol. 517, Springer-Verlag, Berlin and New York, 1976. MR 0474243 (57:13890)
- [GH]
- W.H. Gottschalk and G.A. Hedlund, Topological dynamics, Amer. Math. Soc. Colloq. Publ., vol. 36, Amer. Math. Soc., Providence, RI, 1955. MR 0074810 (17:650e)
- [KH]
- A. Katok and B. Hasselblatt, Introduction to the modern theory of dynamical systems, Cambridge Univ. Press, London and New York, 1995. MR 1326374 (96c:58055)
- [M]
- R. Mañé, Ergodic theory and differentiable dynamics, Springer-Verlag, Berlin and New York, 1983. MR 889254 (88c:58040)
- [NS]
- V.V. Nemytskii and V.V. Stepanov, Qualitative theory of differential equations, Princeton Univ. Press, Princeton, NJ, 1960. MR 0121520 (22:12258)
- [R]
- C. Robinson, Dynamical systems: Stability, symbolic dynamics, and chaos, CRC Press, Boca Raton, FL, 1994. MR 1792240 (2001k:37003)
- [S]
- M. Shub, Global stability of dynamical systems, Springer-Verlag, Berlin and New York, 1987. MR 869255 (87m:58086)
Review Information:
Reviewer:
Joseph Auslander
Journal:
Bull. Amer. Math. Soc.
32 (1995), 365-370
DOI:
https://doi.org/10.1090/S0273-0979-1995-00605-1
